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CN114962508B - A shock-absorbing plate-bar structure with negative Poisson's ratio - Google Patents

A shock-absorbing plate-bar structure with negative Poisson's ratio Download PDF

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Publication number
CN114962508B
CN114962508B CN202210672890.5A CN202210672890A CN114962508B CN 114962508 B CN114962508 B CN 114962508B CN 202210672890 A CN202210672890 A CN 202210672890A CN 114962508 B CN114962508 B CN 114962508B
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negative poisson
truss
ratio
shock absorbing
rhombus
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CN114962508A (en
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尹明慧
田坤卉
孙艺阳
林健
郭星晔
籍晓亮
夏志东
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Beijing University of Technology
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16DCOUPLINGS FOR TRANSMITTING ROTATION; CLUTCHES; BRAKES
    • F16D66/00Arrangements for monitoring working conditions, e.g. wear, temperature
    • F16D66/02Apparatus for indicating wear
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F1/00Springs
    • F16F1/36Springs made of rubber or other material having high internal friction, e.g. thermoplastic elastomers
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F1/00Springs
    • F16F1/36Springs made of rubber or other material having high internal friction, e.g. thermoplastic elastomers
    • F16F1/373Springs made of rubber or other material having high internal friction, e.g. thermoplastic elastomers characterised by having a particular shape
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F1/00Springs
    • F16F1/36Springs made of rubber or other material having high internal friction, e.g. thermoplastic elastomers
    • F16F1/42Springs made of rubber or other material having high internal friction, e.g. thermoplastic elastomers characterised by the mode of stressing
    • F16F1/44Springs made of rubber or other material having high internal friction, e.g. thermoplastic elastomers characterised by the mode of stressing loaded mainly in compression
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F1/00Springs
    • F16F1/36Springs made of rubber or other material having high internal friction, e.g. thermoplastic elastomers
    • F16F1/42Springs made of rubber or other material having high internal friction, e.g. thermoplastic elastomers characterised by the mode of stressing
    • F16F1/46Springs made of rubber or other material having high internal friction, e.g. thermoplastic elastomers characterised by the mode of stressing loaded mainly in tension
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F2224/00Materials; Material properties
    • F16F2224/02Materials; Material properties solids
    • F16F2224/0225Cellular, e.g. microcellular foam

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  • Engineering & Computer Science (AREA)
  • General Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Health & Medical Sciences (AREA)
  • Child & Adolescent Psychology (AREA)
  • Vibration Dampers (AREA)

Abstract

本发明公开一种具有负泊松比的减震板杆结构,包括桁架和菱形旋转子,所述桁架包括周期性单元,所述周期性单元为近内凹六边形结构,每组所述周期性单元的近内凹六边形结构包含横杆和斜杆,所述斜杆对称在横杆两端且位于同侧,同侧所述斜杆之间的横杆上设有菱形旋转子,所述菱形旋转子上下侧均设有桁架且两组桁架平行设置,所述桁架和菱形旋转子交替排列设置;本发明的板杆结构疏松多孔且具有良好的负泊松比性能,在弹性限度内,受到外界震动时,可吸收能量,达到良好的减震效果。

The invention discloses a shock-absorbing plate-bar structure with a negative Poisson's ratio, which includes a truss and a rhombus rotor. The truss includes periodic units, and the periodic units are nearly concave hexagonal structures. Each group of The nearly concave hexagonal structure of the periodic unit includes a horizontal bar and a diagonal bar. The diagonal bar is symmetrical at both ends of the cross bar and is located on the same side. The cross bar between the diagonal bars on the same side is provided with a rhombus rotor. , the upper and lower sides of the rhombus rotor are provided with trusses, and the two sets of trusses are arranged in parallel, and the trusses and the rhombus rotor are arranged alternately; the plate rod structure of the present invention is loose and porous and has good negative Poisson's ratio performance. Within a certain limit, it can absorb energy when subjected to external vibrations and achieve good shock absorption effect.

Description

一种具有负泊松比的减震板杆结构A shock-absorbing plate-bar structure with negative Poisson's ratio

技术领域Technical field

本发明涉及超材料技术领域,尤其涉及一种具有负泊松比的减震板杆结构。The present invention relates to the technical field of metamaterials, and in particular to a shock-absorbing plate-bar structure with a negative Poisson's ratio.

背景技术Background technique

自然界中的材料泊松比大多为正值,表现出拉伸时收缩或压缩时膨胀的现象,而负泊松比材料表现出与之相反的特点,即拉-胀,压-缩的特性,负泊松比材料和结构在抗剪切性、抗断裂性、能量吸收性能等方面具有很大优势,具有负泊松比效应的超材料通常表现出轻质、高阻尼、吸声、隔热等物理特性;The Poisson's ratio of materials in nature is mostly positive, showing the phenomenon of shrinkage when stretching or expansion when compressing, while materials with negative Poisson's ratio show the opposite characteristics, that is, the characteristics of tension-expansion and compression-compression. Negative Poisson's ratio materials and structures have great advantages in shear resistance, fracture resistance, energy absorption performance, etc. Metamaterials with negative Poisson's ratio effect usually exhibit lightweight, high damping, sound absorption, and heat insulation. and other physical properties;

负泊松比材料应用广泛,在航空、航天、医疗、电子等领域均有涉及,对航空航天、半导体器件、光学元件、精密仪器以及建筑材料等领域的发展具有重大意义,负泊松比材料受弯时向外膨胀吸收更多能量,从而减震,从而起保护作用;Negative Poisson's ratio materials are widely used in aviation, aerospace, medical, electronics and other fields. They are of great significance to the development of aerospace, semiconductor devices, optical components, precision instruments and building materials. Negative Poisson's ratio materials When bent, it expands outward to absorb more energy, thereby absorbing shock and thus playing a protective role;

目前经典的负泊松比结构为内凹多边形结构、星型结构、手性结构和蜂窝结构,这些结构在斜杆方面性能不足,同时由于竖杆一定程度阻碍了斜杆运动,导致其旋转能力减弱,因此,本发明提出一种具有负泊松比的减震板杆结构以解决现有技术中存在的问题。The current classic negative Poisson's ratio structures are concave polygonal structures, star structures, chiral structures and honeycomb structures. These structures have insufficient performance in terms of inclined rods. At the same time, the vertical rods hinder the movement of the inclined rods to a certain extent, resulting in their rotation ability. Therefore, the present invention proposes a damping plate rod structure with a negative Poisson's ratio to solve the problems existing in the prior art.

发明内容Contents of the invention

针对上述问题,本发明的目的在于提出一种具有负泊松比的减震板杆结构,该具有负泊松比的板杆结构。In view of the above problems, the purpose of the present invention is to propose a damping plate rod structure with a negative Poisson's ratio, which is a plate rod structure with a negative Poisson's ratio.

为实现本发明的目的,本发明通过以下技术方案实现:一种具有负泊松比的减震板杆结构,包括桁架和菱形旋转子,所述桁架包括周期性单元,所述周期性单元为近内凹六边形结构,每组所述周期性单元的近内凹六边形结构包含横杆和斜杆,所述斜杆对称在横杆两端且位于同侧,同侧所述斜杆之间的横杆上设有菱形旋转子,所述菱形旋转子上下侧均设有桁架且两组桁架平行设置,所述桁架和菱形旋转子交替排列设置。In order to achieve the purpose of the present invention, the present invention is realized through the following technical solutions: a shock-absorbing plate rod structure with a negative Poisson's ratio, including a truss and a rhombus rotor, the truss including a periodic unit, and the periodic unit is A nearly concave hexagonal structure. The nearly concave hexagonal structure of each group of periodic units includes a horizontal bar and a diagonal bar. The diagonal bar is symmetrical at both ends of the cross bar and is located on the same side. The diagonal bar on the same side is A rhombus-shaped rotor is provided on the crossbar between the rods. Trusses are provided on the upper and lower sides of the rhombus-shaped rotor, and the two sets of trusses are arranged in parallel. The trusses and the rhombus-shaped rotor are arranged alternately.

进一步改进在于:所述桁架与菱形旋转子制作材料为金属、PLA耗材、碳纤维和复合材料中的一种,通过3D打印技术制作。A further improvement is that the truss and rhombus rotor are made of one of metal, PLA consumables, carbon fiber and composite materials, and are made by 3D printing technology.

进一步改进在于:所述菱形旋转子上下两侧的桁架进点横杆之间的间距为6L,远点横杆之间的间距为8L,所述桁架上横杆长度为6L,两组所述斜杆长度为所述斜杆与横杆之间夹角为135°,所述菱形旋转子边长为5L,所述菱形旋转子斜边与横杆连接处的夹角为45°,其中L为尺寸系数。A further improvement is that: the distance between the entry point crossbars of the truss on the upper and lower sides of the diamond rotor is 6L, the distance between the far point crossbars is 8L, the length of the upper crossbars of the truss is 6L, and the two groups of The length of the inclined rod is The included angle between the oblique bar and the cross bar is 135°, the side length of the rhombus rotor is 5L, and the included angle at the connection between the hypotenuse of the rhombus rotor and the cross bar is 45°, where L is the size coefficient.

进一步改进在于:采用Abaqus仿真软件进行仿真实验,验证负泊松比点阵模型,并通过该软件进行数据处理,导出数据后计算泊松比-时间曲线。Further improvement is: using Abaqus simulation software to conduct simulation experiments to verify the negative Poisson's ratio lattice model, and perform data processing through the software, and then calculate the Poisson's ratio-time curve after exporting the data.

进一步改进在于:采用Abaqus仿真软件仿真模拟前利用SolidWorks建立虚拟模型,在Abaqus仿真软件中先设置材料参数,再设置载荷参数、压缩量参数、划分有限元网格,进行模拟计算。Further improvements include: using Abaqus simulation software to create a virtual model using SolidWorks before simulating. In the Abaqus simulation software, first set the material parameters, then set the load parameters, compression parameters, divide the finite element mesh, and perform simulation calculations.

本发明的有益效果为:本发明的板杆结构疏松多孔且具有良好的负泊松比性能,在弹性限度内,受到外界震动时,可吸收能量,达到良好的减震效果。The beneficial effects of the present invention are: the plate rod structure of the present invention is loose and porous and has good negative Poisson's ratio performance. Within the elastic limit, it can absorb energy when subjected to external vibration and achieve good shock absorption effect.

附图说明Description of the drawings

图1为本发明实施例1桁架和菱形旋转子分布结构图。Figure 1 is a structural diagram showing the distribution structure of the truss and rhombus rotor in Embodiment 1 of the present invention.

图2为本发明实施例1周期性单元结构图。Figure 2 is a structural diagram of a periodic unit according to Embodiment 1 of the present invention.

图3为本发明实施例2AlSi10Mg的真应力及塑性应变曲线图。Figure 3 is a graph of true stress and plastic strain curves of AlSi10Mg in Example 2 of the present invention.

图4为本发明实施例2的板杆结构泊松比-时间曲线图。Figure 4 is a Poisson's ratio-time curve of the plate-bar structure in Embodiment 2 of the present invention.

图5为本发明实施例2传统模型泊松比-时间曲线图。Figure 5 is a Poisson's ratio-time curve of the traditional model in Embodiment 2 of the present invention.

具体实施方式Detailed ways

为了加深对本发明的理解,下面将结合实施例对本发明做进一步详述,本实施例仅用于解释本发明,并不构成对本发明保护范围的限定。In order to deepen the understanding of the present invention, the present invention will be further described in detail below with reference to examples. This example is only used to explain the present invention and does not constitute a limitation on the protection scope of the present invention.

实施例1Example 1

根据图1和图2所示,本实施例提供了一种具有负泊松比的减震板杆结构,包括桁架和菱形旋转子,所述桁架包括周期性单元,所述周期性单元为近内凹六边形结构,每组所述周期性单元的近内凹六边形结构包含横杆和斜杆,所述斜杆对称在横杆两端且位于同侧,同侧所述斜杆之间的横杆上设有菱形旋转子,所述菱形旋转子上下侧均设有桁架且两组桁架平行设置,所述桁架和菱形旋转子交替排列设置。As shown in Figures 1 and 2, this embodiment provides a damping plate rod structure with a negative Poisson's ratio, including a truss and a rhombus rotor. The truss includes periodic units, and the periodic units are nearly Concave hexagonal structure, the nearly concave hexagonal structure of each group of periodic units includes a horizontal bar and a diagonal bar, the diagonal bar is symmetrical at both ends of the cross bar and is located on the same side, and the diagonal bar on the same side A rhombus-shaped rotor is provided on the crossbar between them. Trusses are provided on the upper and lower sides of the rhombus-shaped rotor, and the two sets of trusses are arranged in parallel. The trusses and the rhombus-shaped rotor are arranged alternately.

所述桁架与菱形旋转子制作材料为金属、PLA耗材、碳纤维和复合材料中的一种,通过3D打印技术制作。The truss and rhombus rotor are made of metal, PLA consumables, carbon fiber and composite materials, and are produced through 3D printing technology.

所述菱形旋转子上下两侧的桁架进点横杆之间的间距为6L,远点横杆之间的间距为8L,所述桁架上横杆长度为6L,两组所述斜杆长度为所述斜杆与横杆之间夹角为135°,所述菱形旋转子边长为5L,所述菱形旋转子斜边与横杆连接处的夹角为45°,其中L为尺寸系数。The distance between the entry point crossbars of the truss on the upper and lower sides of the diamond rotor is 6L, the distance between the far point crossbars is 8L, the length of the upper crossbars of the truss is 6L, and the length of the two sets of diagonal bars is The included angle between the oblique bar and the cross bar is 135°, the side length of the rhombus rotor is 5L, and the included angle at the connection between the hypotenuse of the rhombus rotor and the cross bar is 45°, where L is the size coefficient.

采用Abaqus仿真软件进行仿真实验,验证负泊松比点阵模型,并通过该软件进行数据处理,导出数据后计算泊松比-时间曲线。Abaqus simulation software was used to conduct simulation experiments to verify the negative Poisson's ratio lattice model, and the software was used for data processing, and the Poisson's ratio-time curve was calculated after exporting the data.

采用Abaqus仿真软件仿真模拟前利用SolidWorks建立虚拟模型,在Abaqus仿真软件中先设置材料参数,再设置载荷参数、压缩量参数、划分有限元网格,进行模拟计算。Before using Abaqus simulation software to simulate the simulation, use SolidWorks to establish a virtual model. In the Abaqus simulation software, first set the material parameters, then set the load parameters, compression parameters, divide the finite element mesh, and perform simulation calculations.

实施例2Example 2

根据图3、图4和图5所示,本实施例提供了一种具有负泊松比的减震板杆结构仿真验证试验,验证验证负泊松比点阵模型,并通过该软件进行数据处理,导出数据后计算泊松比-时间曲线图,如说明书附图4所示,最小泊松比为-0.849,如说明书附图5所示为传统模型泊松比-时间曲线图,最小泊松比为-0.468,比对后发现所设计的结构负泊松比性能远好于传统负泊松比模型。As shown in Figures 3, 4 and 5, this embodiment provides a simulation verification test of a shock-absorbing plate rod structure with a negative Poisson's ratio, verifies the negative Poisson's ratio lattice model, and performs data processing through the software After processing and exporting the data, calculate the Poisson's ratio-time curve. As shown in Figure 4 of the manual, the minimum Poisson's ratio is -0.849. As shown in Figure 5 of the manual, it is the Poisson's ratio-time curve of the traditional model. The minimum Poisson's ratio is -0.849. The Poisson's ratio is -0.468. After comparison, it is found that the negative Poisson's ratio performance of the designed structure is much better than the traditional negative Poisson's ratio model.

Abaqus仿真软件仿真模拟前利用SolidWorks建立虚拟模型,在Abaqus仿真软件中先设置材料参数,包括真应力-真应变参数,屈服强度:305Mpa,密度:2.7g/cm3,弹性模量:70GPa,材料泊松比:0.34,下表1为AlSi10Mg的真应力及塑性应变表。Abaqus simulation software uses SolidWorks to establish a virtual model before simulating. First set the material parameters in Abaqus simulation software, including true stress-true strain parameters, yield strength: 305Mpa, density: 2.7g/cm 3 , elastic modulus: 70GPa, material Poisson's ratio: 0.34. Table 1 below is the true stress and plastic strain table of AlSi10Mg.

表1Table 1

真应力(MPa)True stress (MPa) 塑性应变plastic strain 真应力(MPa)True stress (MPa) 塑性应变plastic strain 305305 00 409409 0.020.02 337337 0.0040.004 424424 0.0240.024 357357 0.0080.008 438438 0.0270.027 377377 0.0120.012 452452 0.0310.031 393393 0.0160.016

再设置载荷参数、压缩量参数、划分有限元网格,进行模拟计算,实验模拟了该模型下,经受压力的弹性变形阶段,可以观察到材料的变形情况。Then set the load parameters and compression parameters, divide the finite element mesh, and perform simulation calculations. The experiment simulated the elastic deformation stage under pressure under this model, and the deformation of the material can be observed.

模拟完毕后,在模型上边缘表面取6点,从Abaqus软件中导出6点的平均Y轴位移与平均Y轴应力;在整体模型中间两侧各取两点,并按如上方式导出平均X轴位移,由于已知模型参数,平均X轴位移除以模型总长度得X轴应变,平均Y轴位移除以模型总高度得Y轴应变,由于模拟实验应用一定的位移载荷和固定的位移时间,所以压力机下压的位移速度一定,时间与位移量存在一一对应关系,可作出泊松比-时间图。After the simulation is completed, take 6 points on the upper edge surface of the model, and derive the average Y-axis displacement and average Y-axis stress of the 6 points from the Abaqus software; take two points on each side of the middle of the overall model, and derive the average X-axis as above. Displacement, since the model parameters are known, the average X-axis displacement is divided by the total length of the model to obtain the X-axis strain, and the average Y-axis displacement is divided by the total height of the model to obtain the Y-axis strain. Since the simulation experiment applies a certain displacement load and fixed displacement time, so the displacement speed of the press is certain, and there is a one-to-one correspondence between time and displacement, and a Poisson's ratio-time diagram can be drawn.

负泊松比材料多因其吸收能量的能力良好,常被应用于制造减震设备上;但如果应力超过结构的屈服极限,模型发生较大的塑性变形,则认为模型失效,发挥不了其减震作用。因此,以下选择应力在屈服极限之前的阶段进行模型泊松比的研究。Negative Poisson's ratio materials are often used in the manufacture of shock-absorbing equipment because of their good ability to absorb energy. However, if the stress exceeds the yield limit of the structure and the model undergoes large plastic deformation, the model is considered to have failed and cannot play its role in reducing vibration. shock effect. Therefore, the following stress is selected to study the Poisson's ratio of the model in the stage before the yield limit.

以上显示和描述了本发明的基本原理、主要特征和优点。本行业的技术人员应该了解,本发明不受上述实施例的限制,上述实施例和说明书中描述的只是说明本发明的原理,在不脱离本发明精神和范围的前提下,本发明还会有各种变化和改进,这些变化和改进都落入要求保护的本发明范围内。本发明要求保护范围由所附的权利要求书及其等效物界定。The basic principles, main features and advantages of the present invention have been shown and described above. Those skilled in the industry should understand that the present invention is not limited by the above embodiments. The above embodiments and descriptions only illustrate the principles of the present invention. Without departing from the spirit and scope of the present invention, the present invention will also have other aspects. Various changes and modifications are possible, which fall within the scope of the claimed invention. The scope of protection of the present invention is defined by the appended claims and their equivalents.

Claims (9)

1. A shock absorbing plate pole structure with negative poisson's ratio, characterized in that: including truss and rhombus rotator, the truss includes periodic unit, periodic unit is nearly indent hexagon structure, every group periodic unit's nearly indent hexagon structure contains horizontal pole and diagonal bar, diagonal bar symmetry is at horizontal pole both ends and be located the homonymy, homonymy be equipped with the rhombus rotator on the horizontal pole between the diagonal bar, the rhombus rotator upside all is equipped with truss and two sets of truss parallel arrangement, truss and rhombus rotator alternate arrangement setting.
2. The shock absorbing panel rod structure with negative poisson's ratio according to claim 1, wherein: the truss and diamond rotator manufacturing material is one of metal, PLA consumable, carbon fiber and composite material.
3. The shock absorbing panel rod structure with negative poisson's ratio according to claim 1, wherein: the distance between the truss inlet cross bars at the upper side and the lower side of the diamond-shaped rotator is 6L, and L is a size coefficient.
4. The shock absorbing panel rod structure with negative poisson's ratio according to claim 1, wherein: the distance between the cross bars at the far point is 8L, and L is the size coefficient.
5. The shock absorbing panel rod structure with negative poisson's ratio according to claim 1, wherein: the length of the truss upper cross bar is 6L, and L is a dimension coefficient.
6. The shock absorbing panel rod structure with negative poisson's ratio according to claim 1, wherein: the lengths of the two groups of diagonal rods are ∈2L, and L is a size coefficient.
7. The shock absorbing panel rod structure with negative poisson's ratio according to claim 1, wherein: the included angle between the inclined rod and the cross rod is 135 degrees.
8. The shock absorbing panel rod structure with negative poisson's ratio according to claim 1, wherein: the side length of the diamond-shaped rotator is 5L, and L is a size coefficient.
9. The shock absorbing panel rod structure with negative poisson's ratio according to claim 1, wherein: the included angle between the oblique side of the diamond-shaped rotary sub-and the joint of the cross bar is 45 degrees.
CN202210672890.5A 2022-06-14 2022-06-14 A shock-absorbing plate-bar structure with negative Poisson's ratio Expired - Fee Related CN114962508B (en)

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CN109113810A (en) * 2018-08-09 2019-01-01 南京航空航天大学 Engine with honeycomb type negative poisson's ratio structure contains ring and manufacturing method
CN109719865A (en) * 2017-10-31 2019-05-07 空中客车操作有限责任公司 For manufacturing the modular mold and method of fibre reinforced materials plate
CN111436211A (en) * 2017-09-27 2020-07-21 香港科技大学 Method and apparatus for modeling and designing multidimensional cellular structures for additive manufacturing
CN113081402A (en) * 2021-03-31 2021-07-09 北京航空航天大学 Femoral stem prosthesis
CN113498463A (en) * 2019-03-29 2021-10-12 三菱重工业株式会社 Method for manufacturing negative thermal expansion member

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111436211A (en) * 2017-09-27 2020-07-21 香港科技大学 Method and apparatus for modeling and designing multidimensional cellular structures for additive manufacturing
CN109719865A (en) * 2017-10-31 2019-05-07 空中客车操作有限责任公司 For manufacturing the modular mold and method of fibre reinforced materials plate
CN109113810A (en) * 2018-08-09 2019-01-01 南京航空航天大学 Engine with honeycomb type negative poisson's ratio structure contains ring and manufacturing method
CN113498463A (en) * 2019-03-29 2021-10-12 三菱重工业株式会社 Method for manufacturing negative thermal expansion member
CN113081402A (en) * 2021-03-31 2021-07-09 北京航空航天大学 Femoral stem prosthesis

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